Kinematics

The position of a particle moving along the x axis is given by x = A + Bt3, where A = 9.75 cm and B = 1.50 cm/s3. Con­sider the time interval t = 2 to t = 3 s and calculate
(a) the average velocity;
(b) the instantaneous velocity at t = 2 s;
(c) the instantaneous velocity at t = 3 s;
(d) the instantaneous ve­locity at t = 2.5 s;
and
(e) the instantaneous velocity when the particle is midway between its positions at t = 2 and t = 3 s.